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- Title
One-compartment stochastic pharmacokinetic model.
- Authors
Cano Macias, Ricardo; Jiménez Moscoso, José Alfredo; Ruiz Vera, Jorge Mauricio
- Abstract
In this work, we consider a pharmacokinetic (PK) model with first-order drug absorption and first-order elimination that represent the concentration of drugs in the body, including both the absorption and elimination parts, and we also add a random factor to describe the variability between patients and the environment. Using Itô's lemma and the Laplace transform, we obtain the solutions in integral form for a single and constant dosage regimen in time. Moreover, formulas for the expected value and the variance for each case of study are presented, which allows the statistical assessment of the proposed models, as well as predicting the ideal path of drug concentration and its uncertainty. These results are important in the long-term analysis of drug concentration and the persistence of therapeutic level. Further, a numerical method for the solution of the stochastic differential equation (SDE) is introduced and developed.
- Subjects
NUMERICAL solutions to stochastic differential equations; STOCHASTIC models; DRUG absorption
- Publication
Universitas Scientiarum, 2023, Vol 28, Issue 1, p23
- ISSN
0122-7483
- Publication type
Article
- DOI
10.11144/Javeriana.SC281.ocsp